Aplicação do método de Runge-Kutta à teoria de viga de Timoshenko

Abstract

Numerical methods are increasingly present in solving practical problems related to physical models applied in engineering. This is observed in beam models that have different analytical and numerical ways to solving problems. Finding to expand the set of possibilities of available methods, this work aims to present and computationally implement an alternative for solving the equations given by the Timoshenko beam model, the fourth-order Runge-Kutta method. Thus, adding a possibility little explored in the literature for this purpose. Through the implementation of the Runge-Kutta method, the results obtained are compared to the results of the finite difference method and to the analytical answer, enabling the evaluation of the implemented method and its classification for this type of problem in terms of precision, ease of implementation and computational cost.